Middle Years
2.06 Non-linear Simultaneous Equations (Extended)
Interactive practice questions
Consider the system of equations:
$x^2+y^2=10$x2+y2=10
$x-y=4$x−y=4
a
$\left(x,y\right)$(x,y) is a solution to the system of equations. First solve for $x$x.
Enter each solution on the same line separated by a comma.
b
Therefore, the solutions are $\left(3,\editable{}\right)$(3,) and $\left(1,\editable{}\right)$(1,).
Medium
5min
Consider the system of equations:
$x^2+y^2=5$x2+y2=5
$-2x+3y=7$−2x+3y=7
Medium
6min
Consider the system of equations:
$x^2+y=2$x2+y=2
$2y=5x^2-24$2y=5x2−24
Medium
6min
Consider the parabolas with equations $y=x^2-16$y=x2−16 and $y=16-x^2$y=16−x2.
Medium
3min
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